JEE Main · MathematicsHard

$A committee of 5 is to be formed from 6 men and 4 women such that at least one woman is included. How many ways can this be done?$

A. $246$
B. $252$
C. $240$
D. $250$

Show correct answer & step-by-step solution

Correct answer: A — $246$

Solution

The total number of ways to choose 5 people from 10 is (5 10) = 252 . The number of ways to choose only men is (5 6) = 6, so the result is $252 - 6 = 246$.

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